Difference sets from unions of cyclotomic classes of orders 12, 20, and 24

Difference sets from unions of cyclotomic classes of orders 12, 20, and 24

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"Let q be a prime of the form q = nN + 1 for integers n ≥ 1 and N > 1. For q < 10^5, we show that difference sets in the additive group of the field GF(q) are obtained from unions of cyclotomic classes of orders N = 12, 20, and 24 and determine all such unions using a computer search. We...

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Bibliographic Details
Published in:Vol. 150, No. 6B (December 2021) pages 1803-1810.
Main Authors: Balmaceda, Jose Maria P. (Author), Estrella, Benedict M. (Author)
Format: Book
Language:English
Subjects:
Cyclotomy.
Difference sets.